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Finding the Fourth Proportional to 288,698.96, 433,106.76 and 120,231.92

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Solution

The fourth proportional to 288,698.96, 433,106.76 and 120,231.92 is: 180,372.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,698.96 : 433,106.76 = 120,231.92 : x
  2. Step 2: Convert to fraction form
    288,698.96/433,106.76 = 120,231.92/x
  3. Step 3: Cross multiply
    288,698.96x = 433,106.76 × 120,231.92
  4. Step 4: Simplify right side
    288,698.96x = 52,073,257,319.78
  5. Step 5: Solve for x
    x = 52,073,257,319.78/288,698.96
  6. Step 6: Final answer
    x = 180,372.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.